Lecture "Digital Signal Processing"

Basic Information

Lecturers:   Gerhard Schmidt (lecture) and Eric Elzenheimer (exercise)
Room:   Building C - SR II (lecture and exercise)
Language:   German
Target group:   Students of Electrical Engineering and Computer Engineering in their
6th semester, also for students of Computer Science or Physics with appropriate knowledge of signals and systems.
Prerequisites:   Mathematics for engineers I, II, III, Foundations in electrical engineering I, II

Topic overview:

  • Signal digitization
    • analogue-to-digital and digital-to-analogue conversion
    • quantization characteristics, quantization noise
    • sample and hold
    • sampling of functions and sequences with/without phase shift, down- and up-sampling (decimation, interpolation)
  • Spectra (DFT and FFT)
    • convolution via DFT, fast DFT evaluation
    • radix-2/DIT FFT and alternatives
    • transformation of real sequences, "pruning" and "zoom" FFT
    • spectral analysis of infinite sequences (windowing, periodograms of random signals)
  • Digital filters
    • difference and state equations
    • equivalent realisations/transformed structures, diagonal form, transition matrix
    • realisation effects (input, arithmetic, and coefficient errors)

    Rabiner, L. R.; Schafer, R. W.: Digital Processing of Speech Signals, Prentice-Hall, 1978
    Kondoz, A. M.: Digital Speech-Coding for Low Bit Rate Communications System, John Wiley & Sons, 1994
    von Grünigen, Daniel: Digitale Signalverarbeitung, Hanser, 2014




Lecture slides

  Slides of the lecture "Introduction"
(Introduction, boundary conditions of the lecture)
  Slides of the lecture "Signals"
(Signal types, AD and DA conversion, sample rate conversion)
  Slides of the lecture "Spectra"
(DFT, FFT, fast convolution)
  Slides of the lecture "Filter"
(Structures, state space desciption, realization)



Please note that the questionnaires will be uploaded every week before the excercises, if you download them earlier, you won't get the most recent version.

main additional    
  Exercise 1: Sampling and Quantization
  Exercise 2: Reconstruction
    Exercise 3: Sample Rate Conversion / Convolution
    Exercise 4: Discrete Fourier Transform (DFT) / Radix-2-FFT
    Exercise 5: FFTs of real and complex signals
  Exercise 6: Windowing effects
    Exercise 7: Signal-flow graph
    Exercise 8: Filter - The effect of coefficient rounding in digital filters (Part 1)
    Exercise 9: Filter - The effect of coefficient rounding in digital filters (Part 2)
    Exercise 10: Signal-flow graph (mixed)



  Current evaluation     Completed evaluations


Matlab demos


Current Oral Exams

Below is the list of students with their exam dates. If you do not have a date for the exam yet please use the oral exam booking system on this website. You can find the booking system here. All oral exams take place in the office of Prof. Gerhard Schmidt (Room D-013).

Date   Time   Students (matriculation numbers)   Assessor


Website News

27.01.2019: Contributions on nerve signal modeling and magnetic muscle measurement by OPMs availaible on IEEE (early access).

27.01.2020: Talk about magnetic shielding by Allard Schnabel (PTB, Berlin) takes place on Feb 13, 2020, 17 h, Room: C-SR 1.

26.01.2020: Some reflections on the year 2019 are online now.

17.12.2019: Journal paper on signal processing for breathing protection masks published.

23.11.2019: GaS price 2019 for Jannek Winter for an excellent bachelor topic on underwater communication systems.

15.11.2019: Our new MIMO-SONAR system (sponsored by DFG) is now ready for "take off".

20.10.2019: We had a very good retreat on the island of Sylt.

07.08.2019: Talk from Juan Rafael Orozco-Arroyave added.

11.07.2019: First free KiRAT version released - a game for Parkinson patients

Recent Publications


E. Elzenheimer, H. Laufs, W. Schulte-Mattler, G. Schmidt: Magnetic Measurement of Electrically Evoked Muscle Responses with Optically Pumped Magnetometers, IEEE Transactions on Neural Systems and Rehabilitation Engineering, January 2020, doi: 10.1109/TNSRE.2020.2968148


M. Brodersen, A. Volmer, G. Schmidt: Signal Enhancement for Communication Systems Used by Firefighter, EURASIP Journal on Audio, Speech, and Music Processing, vol. 21, pp. 1 - 19, 2019


E. Elzenheimer, H. Laufs, W. Schulte-Mattler, G. Schmidt: Signal Modeling and Simulation of Temporal Dispersion and Conduction Block in Motor Nerves, IEEE Transactions on Biomedical Engineering, November 2019, doi: 10.1109/TBME.2019.2954592


Prof. Dr.-Ing. Gerhard Schmidt

E-Mail: gus@tf.uni-kiel.de

Christian-Albrechts-Universität zu Kiel
Faculty of Engineering
Institute for Electrical Engineering and Information Engineering
Digital Signal Processing and System Theory

Kaiserstr. 2
24143 Kiel, Germany

How to find us

Recent News


Recently, we get the new projector front-ends from Atlas Elektronik for our MIMO SONAR system. This was part of the "Großgerät" which was obtained with the help of the German research foundation (DFG). Now we are able to perform underwater experiments that will show if our ideas and corresponding realt-time algorithms also works in real environments.

We would like to thank all of our ...

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